Ian, Andy and Michael shared a sum of money. Ian and Andy received 90% of the total amount of money. Andy and Michael received 25% of the total amount of money. Given that Ian received $65 more than Michael, how much was the sum of money that was shared by Ian and Michael?
| Ian |
Andy |
Michael |
Total |
| 9x2 |
1x2 |
10x2 |
| 3x5 |
1x5 |
4x5 |
| 15 u |
3 u |
2 u |
20 u |
90% =
90100 =
910 25% =
25100 =
14 The total amount of money that Ian, Andy and Michael shared is repeated. Make the total amount of money the same. LCM of 10 and 4 is 20.
Amount that Ian received more than Michael
= 15 u - 2 u
= 13 u
13 u = 65
1 u = 65 ÷ 13 = 5
Amount that Ian and Michael shared
= 15 u + 2 u
= 17 u
= 17 x 5
= $85
Answer(s): $85
